Atkin-Lehner |
3- 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
48165q |
Isogeny class |
Conductor |
48165 |
Conductor |
∏ cp |
152 |
Product of Tamagawa factors cp |
deg |
3502080 |
Modular degree for the optimal curve |
Δ |
-9.9991937313724E+21 |
Discriminant |
Eigenvalues |
0 3- 5+ 5 -2 13+ 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1455211,-4858758134] |
[a1,a2,a3,a4,a6] |
Generators |
[22906:961871:8] |
Generators of the group modulo torsion |
j |
-2016578871994468827136/59166826812854296875 |
j-invariant |
L |
6.8122737998037 |
L(r)(E,1)/r! |
Ω |
0.056011632106115 |
Real period |
R |
0.80014791754812 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48165w1 |
Quadratic twists by: 13 |